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Nonlinear Functions

SAT Math· difficulty 4/5

For what value of aa does y=ax2+4x+3y = ax^2 + 4x + 3 have its vertex at x=1x = 1?

  • A

    a=2a = 2

  • B

    a=−4a = -4

  • C

    a=−2a = -2

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  • D

    a=4a = 4

Explanation

x=−b/(2a)=−4/(2a)=1x = -b/(2a) = -4/(2a) = 1, so 2a=−42a = -4, a=−2a = -2.

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